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DIA [1.3K]
3 years ago
7

-6(w+1)=2(1-3w)-8 give solution

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0
I believe it's all real numbers
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If the volume of a cubical box is 1728cm find its total surface area​
Lera25 [3.4K]

Answer:

<h2>864 cm²</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=s^3

<em>s</em> - <em>edge</em>

We have

V=1728\ cm^3

Substitute:

s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/texbecause[tex]12^3=1728

The formula of a surface area of a cube:

SA=6s^2

(6 square faces of a cube)

Substitute:

SA=6(12^2)=6(144)=864\ cm^2

8 0
4 years ago
Read 2 more answers
The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in
crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling <em>x</em> items given by the function:

C(x)=40x+180

And the revenue for selling <em>x</em> items is given by:

R(x)=68x-0.4x^2

The profit function is the cost function subtracted from the revenue function:

P(x)=R(x)-C(x)

Substitute and simplify:

\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}

To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:

300=-0.4x^2+28x-180

Solve for <em>x</em>. Subtract 300 from both sides:

-0.4x^2+28x-480=0

We can divide both sides by -0.4:

x^2-70x+1200=0

Factor:

(x-40)(x-30)=0

Zero Product Property:

x-40=0\text{ or } x-30=0

Solve for each case:

x=40\text{ or } x=30

So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.

7 0
3 years ago
Find the solution to the system of equations.
harina [27]

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

4 0
3 years ago
Read 2 more answers
What are the next three terms in the sequence 2, -4, -16, 32
Nikitich [7]

Answer:

128, -256, -1024

Step-by-step explanation:

multiply 32 by 4, multiply 128 by -2, multiply -256 by 4

5 0
2 years ago
How do you cut a right triangle to make 1 pentagon and 2 triangles
Tanya [424]
Cut only to ends of the triangle off then it will have a pentagon with the uncut shape
7 0
3 years ago
Read 2 more answers
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